55.66 is what percent of 71 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 71 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 71, so we can write it down as 100%=71.
4. We know, that x% equals 55.66 of the output value, so we can write it down as x%=55.66.
5. Now we have two simple equations:
1) 100%=71
2) x%=55.66
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=71/55.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.66 is what percent of 71

100%/x%=71/55.66
(100/x)*x=(71/55.66)*x       - we multiply both sides of the equation by x
100=1.2756018684872*x       - we divide both sides of the equation by (1.2756018684872) to get x
100/1.2756018684872=x
78.394366197183=x
x=78.394366197183

now we have:
55.66 is 78.394366197183% of 71